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icang [17]
3 years ago
12

A recipe uses 4/6 cup of sugar. You only have a 1/3 measuring cup. How many scoops of sugar would you need to have enough for th

is recipe?
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
5 0

Answer:2

4/6 can be divided by 2

Which will equal 2/3

Step-by-step explanation:

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What is the length of the hypotenuse? Answer : 17
leonid [27]

Answer:

Below.

Step-by-step explanation:

Finding the hypotenuse:

Recall the formula of Pythagoras'theorem,

  • (Hypotenuse)² = (Base)² + (Perpendicular)²

Given that base = 8 and perpendicular = 15

Plugging the values,we obtain

  • H² = 8² + (15)²
  • H² = 64 + 225
  • H² = 289
  • H = √(17*17)
  • H = 17

Now applying trigonometric functions:

Recall SOHCAHTOA , it's very helpful.

Sin θ = Sin A = Opposite/Hypotenuse

  • Sin A = 15/17 ≈ 0.88

cos θ = cos A = Adjacent/Hypotenuse

  • cos A = 8/17 ≈ 0.47

Tan θ = tan A = Opposite/Adjacent

  • tan A = 15/8 ≈ 1.88

Note: The values in decimal are rounded to nearest hundredth.

3 0
2 years ago
3cot^(2 )x-1=0<br><br> Pls Help
Elina [12.6K]

Answer:

x=\frac{\pi }{6} ,\frac{7\pi }{6}

Step-by-step explanation:

3*cot^2x-1=0\\\\3*cot^2x=1\\\\cot^2x=\frac{1}{3} \\\\cot(x)=\sqrt{\frac{1}{3} } \\\\cot(x)=\frac{1}{\sqrt{3} } \\\\\frac{1}{tan(x)}=\frac{1}{\sqrt{3} } \\\\tan(x)=\sqrt{3} \\

x=tan^-1(\sqrt{3})

It has to be in Quadrant 1  \frac{+}{+} =+ or 3 \frac{-}{-}=+ for positive.

x=\frac{\pi }{6} ,\frac{7\pi }{6}

Unless that incorrect due to tan(x) range is -\frac{\pi }{2} \leq x\leq \frac{\pi }{2}. Then the only answer is x=\frac{\pi }{6}

5 0
2 years ago
Felicia has $4.17 in change. After she takes out the quarters, she has $4.42 left. How many quarters did she take out
Lady bird [3.3K]

Answer:

1

Step-by-step explanation:

A quarter is 25 cents. $4.17 + $0.25 = $4.42

She added 1 quarter.

6 0
3 years ago
20 Points!
AnnyKZ [126]

Answer:

Corresponding angles

Step-by-step explanation:

When two lines are crossed by transversal . the angles in matching corner are corresponding angles .

They occupy same relative position where the transversal cuts the two parallel lines .

<em><u>Addi</u></em><em><u>tional</u></em><em><u> information</u></em>

  • The corresponding angles theorem states that if two parallel lines are cut by the transversal then the pair corresponding angles are equal .

<u>Note</u><u>:</u>

  • A theorem is the proven statement which is true.

8 0
3 years ago
Write an equation that is parallel to the line x + 3y = 2 and passes through the point (1,0).
jeka94

Answer:

Step-by-step explanation:

3y = -x + 2

y = -x/3 + 2/3

y - 0 = -1/3(x - 1)

y = -1/3x + 1/3

3 0
4 years ago
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